John Patrick "Jack, Doctor" Brannen (September 13, 1874 – October 25, 1964) was a Canadian amateur ice hockey player who was active in the late 1890s and early 1900s.

Brannen played as a rover, a position between defense and attack, for the Montreal Shamrocks in the AHAC and CAHL between 1896 and 1901.

[2][3] Brannen also played with the Shamrocks in a Stanley Cup challenge series in 1901, but the team lost to the Winnipeg Victorias.

After his career in ice hockey he moved to northern New York where he worked as a medical doctor, though he occasionally acted as an umpire at hockey games in Montreal.

[8] On the Montreal Shamrocks team Brannen played on a forward line with Harry Trihey, Arthur Farrell and Fred Scanlan, all three of whom later on were inducted into the Hockey Hall of Fame.